11. After allowing a discount of 10% on the marked price, a trader still makes a gain of 17%. By
what per cent is the marked price above the cost price?
12. How much per cent above the cost price should a shopkeeper mark his goods so that after
allowing a discount of 10% on the marked price, he gains 8%?
13. The marked price of a TV is 18500. A dealer allows two successive discounts of 20%
and 5%. For how much is the TV available?
14. Find the single discount which is equivalent to two successive discounts of 20% and 5%.
Answers
Answer:
Step-by-step explanation:
11.Let the cost price be 100 Rupees.There is gain of 17% so, Selling price will be 117 Rupees.Sp=117
Let marked price be x
Then 90%of X=117
(90/100)x=117
x=117*100/90
=130
Above cost price=130-100=30
So, marked price is 30 rupees more than CP.
So, shopkeeper must mark his good's price 30% more than cost price.
12.Let the CP be Rs. 100 and MP be Rs. x
gain % after discount = 12%
gain = 12% of 100 = Rs. 12
⇒ SP of the article = CP + Gain
= Rs. (100 + 12) = Rs. 112
Discount % = 20%
Discount = 20% of Marked Price
= Rs.20/100 * x
= Rs. 20x/100
= Rs. x/5
as the question says
marked Price - discount = SP
=> x - x/5 = 112
=> (5x - x)/5 = 112
=> 4x/5 = 112
=> x = 112 * 5/4 = Rs. 140
marked Price = Rs. 140
amount marked above the CP = MP - CP
= Rs. (140 - 100)
= Rs. 40
∴ % amount marked above the CP
= Amount increased/CP * 100
= 40/100 * 100
= 40%